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Mathematics

1 answer:

lora16 [44]3 years ago

7 0

Answer:

Step-by-step explanation:

j=+

We move all terms to the left:

j-(+)=0

We add all the numbers together, and all the variables

j-0=0

We add all the numbers together, and all the variables

j=0

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The difference of two numbers is 16 the greater number is five less than four times a small number find the two numbers

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The numbers are 23 and 7

Step-by-step explanation:

1. Set up the equations

Let x = the greater number

and y = the smaller number. Then

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You have a system of two equations:

$\begin{cases}(1) & x - y = 16\\(2) & x = 4y - 5\end{cases}$

2. Solve the equations

$\begin{array}{lrcll}(3) & 4y - 5 - y & = & 16 &\text{Substituted (2) into (1)}\\& 3y - 5 & = & 16 &\text{Simplified}\\ & 3y & = & 21 &\text{Added 5 to each side}\\(4) &y & = & \mathbf{7} &\text{Divided each side by 3} \\& x - 7 & = & 16 & \text{Substituted (4) into (1)}\\& x& = & \mathbf{23} & \text{Added 7 to each side}\\\end{array}$